Type the expression that results from the following series of steps: Start with t , add 6, divide by 2, then subtract 5.

Answers

Answer 1

Answer:

2(t+6)-5

Step-by-step explanation:

The unknown number is t

=> Adding 6 will make it t+6

=> Multiplying 2 will make it 2(t+6)

=> Subtracting 5 will make it 2(t+6)-5

Answer 2

Answer:

[tex]\frac{t+6}{2}[/tex] - 5

Step-by-step explanation:

[tex]\frac{t+6}{2}[/tex] - 5


Related Questions

what is the point estimator for the proportion of registered voters expressed concern about a loosening of restrictions? b. determine the margin of error for this poll assuming a confidence level of 95%

Answers

The point estimator for the proportion of registered voters expressed concern about a loosening of restrictions is 0.58. The margin of error for this poll is 3.6%.

The point estimator for the proportion of registered voters expressing concern about a loosening of restrictions is:

58/100 = 0.58 or 58%

To determine the margin of error for this poll assuming a confidence level of 95%, we can use the following formula:

margin of error = zsqrt(p(1-p)/n)

where z is the z-score for the desired confidence level (1.96 for 95%), p is the point estimator for the proportion (0.58), and n is the sample size (900).

So, the margin of error is:

1.96sqrt(0.58(1-0.58)/900) ≈ 0.036 or 3.6%

Therefore, the margin of error for this poll is 3.6%.

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____The given question is incomplete, the complete question is given below:

Read the following news article and then answer the two questions at the end According to an NBC News/Wall Street Journal poll released Sunday, 58 percent of registered voters expressed concern about a loosening of restrictions compared with 32 percent who worried that the restrictions would stay in place for too long 3 percent said they were concerned about both scenarios. A mere 3 percent said the pandemic had no impact on their lives, compared with 77 percent who said it had affected them either in a very major way" or "fairly major way The sample size was 900 registered voters a What is the point estimator for the proportion of registered voters expressed concern about a loosening of restrictions b. Determine the margin of error for this poll assuming a confidence level of 95%.

Write an equity find X. Make sure you use ""="" sign in your answer.

Answers

Equity is generally defined as the difference between the value of a company’s assets and its liabilities, and is typically expressed as a dollar amount.

The formula for equity is: Equity = Assets - Liabilities To calculate equity, you would first need to calculate the value of all of the company’s assets, such as cash, investments, inventory, property, and equipment. Then, you would need to calculate the value of all of the company’s liabilities, such as accounts payable, short and long-term debt, and any other financial obligations. Once the value of the assets and liabilities have been calculated, the difference between them is the company’s equity. For example, if a company has total assets of $4,000 and total liabilities of $2,500, the equity can be calculated as follows :Equity = Assets - Liabilities Equity = $4,000 - $2,500  Equity = $1,500

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10x^2-x-2=0 solve by factoring

Answers

(10x-2)(x+1)
X= -1 , 1/5

Write an inequality to represent the tablespoons of ground cofee, g, mrs. Smith might use at this event

Answers

Approximately one full tablespoon of coffee powder is required for each 200 ml cup of coffee. We advise using seven teaspoons of ground coffee to produce a full litre of filter coffee at once.

To create coffee, coffee beans must first be roasted. Coffee is a dark-colored, bitter, and slightly acidic beverage that stimulates individuals due to its high caffeine content. In terms of sales, hot beverages have the largest market worldwide. The roasted beans are ground into tiny particles, frequently steeped in hot water, and then filtered to create a cup of coffee. Despite the fact that coffee is typically served hot, it is frequently served cold or iced. Unroasted green coffee beans are made by separating the seeds from the fruits of the Coffea plant. To produce a cup of coffee, the roasted beans are ground into tiny particles, regularly soaked in hot water, and then filtered. Coffee is commonly served cold or iced even though it is traditionally served hot.

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for two batches the ratio is 6 cups of flour to 2 cups of water for every 3 cups of flour you need 1 cup of water the ratio 3:1 is maintained

Answers

The ratio of cups of flour to water for 6 batches is 18:6

18:6 = 3:1

The ratio is maintained.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Two batches:

The ratio of cups of flour to water.

= 6: 2

= 3:1

Now,

For 1 batch.

The ratio of cups of flour to water.

= 3 : 1

Now,

For m batches.

The ratio of cups of flour to water.

= 3m : 1m

So,

For m = 6

The ratio of cups of flour to water.

= 18 : 6

Thus,

The ratio of cups of flour to water for 6 batches is 18:6.

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The complete question.

For two batches the ratio is 6 cups of flour to 2 cups of water,

This means for every 3 cups of flour, you need 1 cup of water.

The ratio 3:1 is maintained.

Find the ratio for 6 batches

when constructing a confidence interval for a difference between two population proportions, why is it important to check that the number of successes and the number of failures in each sample is at least 10? select the correct answer.

Answers

Why is it crucial to ensure that each sample has at least 10 successes and failures when building a confidence interval for the difference between two population proportions. This will allow us to select a sample distribution for p1-p2 that is roughly normal.

A distributor is a business that takes part in the value chain's distribution step. Making a good or service available to the consumer or business user who wants it is the process of distribution. This might be done by the producer or service provider directly or through indirect channels like distributors or intermediaries. Distribution is one of the four elements of the marketing mix, along with the other three being the product, pricing, and promotion. The broad strategic goal and objective of a corporation should guide distribution decisions. The main task of strategic planning is to develop a thorough distribution plan. At the strategic level, there are three basic distribution tactics: mass, selective, and exclusive distribution.

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Find the area bounded by y=x-13/x^2-6x-27, x=2, x=7, and y=0

Answers

Answer

Step-by-step explanation:

A watch salesman earns a commission of 40% of all watch sales made. Yesterday he sold 5 watches for $60 each and 4 watches for $40 each. How much did he earn in commission yesterday?
A. $120
B. $64
C. $40
D. $184

Answers

He earns $184 in commission yesterday on sold 5 watches for $60 each and 4 watches for $40 each.

Commission:

A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services. Employers sometimes use sales commissions as incentives to increase worker productivity. A commission may be paid in addition to a salary or instead of a salary.

A salesman earns a commission 40%

He sold yesterday 5 watches for $60 each

and, 4 watches for $40 each.

We have to find the how much he earn commission?

Now, According to the question:

Price of 5 watches = 60.00 × 5 = $300

4 watches = $40.00 each

Price of 4 watches = 40.00 × 4 = $160

Total sales made = 300 + 160 = $460

His commission is 40% of the sales = 40% × 460

                                                       = 0.40 × 460 = $184

Hence, He earns $184 in commission.

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Select the correct answer. Rewrite the expression using only positive integer exponents. (m2/3n-1/3)^6
A. m9/n18
B. n18/m9
C. m4/n2
D. n2/m4

Answers

Answer:

C. m4/n2    :))))

Find the perimeter of the rectangle in the given diagram.
Recall: To find the perimeter of a rectangle, add all of its sides.
15
Perimeter =
9
A

Answers

The perimeter of the rectangle in the given diagram is: D. 42 units.

How to determine the perimeter of this rectangle?

In order to determine the perimeter of this rectangle, we would have to find the length of the third side of the right-angled triangle by using Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

9² + b² = 15²

81 + b² = 225

b² = 225 - 81

b = √144

b = 12 units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W)

Where:

P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.

P = 2(9 + 12)

P = 42 units.

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A, b and c are integers. They are the length, width and height of a cuboid respectively. It has a volume of 12cm^3, and the top faces has an area of 4 cm^2. If the cuboid is longer than it is width, what are a, b and c?​

Answers

The length is 1 and width is 4 and height is 3.

In geometry, a cuboid is a solid or three-dimensional shape. A convex polyhedron bounded by 6 rectangular faces with 8 vertices and 12 sides is called a cuboid. A cuboid is also called a cuboid. A cuboid with six square faces is called a cube. An example of a real cube is a rectangular box. In mathematics, we can observe other shapes that are exactly the same as the cuboid. They are cuboid, cuboid, right prism, cuboid, cuboid, cuboid. Learn more about cuboids here

has a volume of 12cm^3

volume of cuboid is = length*width*height.

a*b*c  = 12

and the top faces has an area of 4 cm^2

op faces has an area = a*b.

ab = 4

a = length

b = width

ab = 4 = 1x4 = 2x2

and a = 1

b = 4  because the cuboid is longer than it is width

now

abc = 12

ab = 4

c = 12/ab

c = 12/4

c = 3

length = 1 width = 4 height = 3

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-Identity the measures of the reference angle for 521°.
-Identify the measure of the largest negative angle co-terminal with 521°

Answers

The reference angle would be 155 degrees.

What is reference angle?

An angle's reference angle is the measure of the smallest, positive, acute angle formed by the terminal side of the angle and the horizontal axis.

The positive reference angles have terminal sides that lie in the first quadrant and can be used as models for angles in other quadrants.

The reference angle is acute angle, it must be < 90°.

The terminal side lies in Quadrant II.

The positive measure is:

=180-25

=155°.

And the negative measure is:

= 155-360

= -205°.

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Can somebody help me out here, please?

Answers

The addition and subtraction of the fractions by finding the LCD gives:

NUMBER 1: (8y-49) /(y²-49)

NUMBER 2: (x+10) /(2x+8)

NUMBER 3: (7a-2)/10b

NUMBER 4: 1

How to add and subtract the fractions by finding the LCD?

Least Common Denominator (LCD) refers to the smallest multiple that two or more denominators have in common, and is used in operations involving fractions.

NUMBER 1

y/(y²-49) - 7(y+7) = y/[(y+7)(y-7)] - 7(y+7)

LCD of (y+7)(y-7) and (y+7) is (y+7)(y-7):

                          = [y + 7(y-7)] / [(y+7)(y-7)]

                          = [y + 7y-49)] / [(y+7)(y-7)]

                          = (8y-49) / (y+7)(y-7)

                          = (8y-49) /(y²-49)

NUMBER 2

1/2 + 3/(x + 4) = [1(x+4) + 3*2] /[2(x+4)]

                      = [x+4 + 6] /[2(x+4)]

                      = (x+10) /(2x+8)

NUMBER 3

(a+2)/4b + (a-1)/10b + (a-3)/5b = [5(a+2) + 2(a-1) + 4(a-3)]/20b

                                                 = [5a+10 + 2a-2 + 4a-12]/20b

                                                 = (14a-4)/20b

                                                 = 2(7a-2)/20b

                                                 = (7a-2)/10b

NUMBER 4

x/(x+1) - 1/(x-1) + 2x/(x²-1) = [x(x-1) - 1(x+1) + 2x]/(x²-1)

                                         = [x²-x -x-1 + 2x]/(x²-1)

                                         = (x²-1)/(x²-1)

                                         = 1

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2/5 of a gal used 1/4 for coffee. How much milk in cups

Answers

The cups of milk required for the  ( 2 / 5 ) of a gallons used ( 1 / 4 ) for a coffee is given by 2.4 cups.

Here,

( 2 / 5 ) of a gallons is equal to 0.4 gallons.

( 1 / 4 ) of gallons used for coffee that is equal to 0.25 gallons.

Total gallons left after coffee is equal to

= ( 0.4 ) - ( 0.25 )

= ( 0.15 )gallons

Conversion of gallons to cups is given by :

1 gallon = 16 cups

⇒  ( 0.15 )gallons = 0.15 × 16 cups

⇒  ( 0.15 )gallons = 2.4 cups of milk used.

Therefore, the 2.4 cups of milk is used when  ( 2 / 5 ) of a gallons used ( 1 / 4 ) for a coffee.

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1. The sum of two rational numbers is 5
6
. If one of the numbers is 7
36
,

find the other number.

Answers

Answer:

So, the rational number is [tex]\frac{52}{12}[/tex] .

Step-by-step explanation:

Let x be the other number.

We know ,

[tex]\frac{7}{36}[/tex] + x = [tex]\frac{5}{6}[/tex]

To find x, we need to convert both to have a common denominator.

So, if we multiply [tex]\frac{7}{36}[/tex] by [tex]\frac{10}{36}[/tex]  ,

[tex]\frac{10}{1}[/tex] × [tex]\frac{7}{36}[/tex] + x = [tex]\frac{56}{10}[/tex]

After multiplication the fraction  [tex]\frac{7}{36}[/tex] becomes [tex]\frac{70}{360}[/tex]  .

[tex]\frac{70}{360}[/tex]+ x =  [tex]\frac{56}{10}[/tex]

Now we have common denominator of 360in both fraction,

Now,

we can simplify the equation ,

[tex]\frac{70}{360}[/tex]  + x = [tex]\frac{56}{10}[/tex]

 

70 + 360x = 56 × 36

2520 + 360x = 2016

504 + 360x = 2016

360x = 1512

x = [tex]\frac{1512}{360}[/tex]

   =[tex]\frac{52}{12}[/tex]

So, the rational number is [tex]\frac{52}{12}[/tex] .

write -3×(5-2) as a distributive property ​

Answers

Distributive property is expressed as:

a(b + c) = ab + ac

Apply this to the given expression and simplify

- 3×(5 - 2) =                           Given- 3×5 - 3×(-2) =                      Distribute- 15 + 6 =                               Simplify- 9                                          Answer

(SAT Prep) Find the value of x.

Answers

x=36 degrees

Since both lines are parallel, with transversal in the middle, we can use alternate exterior angles to solve this.
Since they are alternate exterior angles, and add up to supplementary angles (they are parallel lines)
3x+2x=180
Simplify
5x=180
Divide both sides by 5
x=36 degrees

If you have any questions or this was incorrect, please let me know!

A rental car company charges $74.90 per day to rent a car and $0.13 for every mile driven. Tyee wants to rent a car, knowing that:

Answers

Answer:

74.90d + 0.13m = Total cost of the car rental

Step-by-step explanation:

Hmmm you didn't give enough information but....

let d represent the number of days

let m represent the number of miles driven

74.90d + 0.13m = Total cost of the car rental

For example Tyee rents the car for 2 days and drives 100 miles

149.8 + 13 = Total cost of the car rental.

$162.8 is the Total cost of the car rental.

Here is some information about some temperatures in Great Britain in January.
Maximum Temp (°C) Minimum Temp (°C)
-8
-1
0
Glasgow
Cardiff
Exeter
b)
2
6
8
a) Which city is warmest in January?
How much colder is the minimum temperature in Glasgow
than the minimum temperature in Cardiff?
Exeter
c) Which city has the biggest difference between the maximum
and minimum temperatures?
°C

Answers

Answer:

b) 7 degrees

c) glasgow

In a lottery, the top cash prize was $693 million, going to three lucky winners. Players pick five different numbers from 1 to 51
and one number from 1 to 42. -
A player wins a minimum award of $400 by correctly matching four numbers drawn from the white balls (1 through 51) and
matching the number on the gold ball (1 through 42). What is the probability of winning the minimum award?
The probability of winning the minimum award is.
(Type an integer or a simplified fraction.)

Answers

Answer:

1/237.12.

Step-by-step explanation:

The probability of winning the minimum award can be calculated by multiplying the probability of picking 4 numbers correctly from 1 to 51 and then multiplying by the probability of picking 1 number correctly from 1 to 42.

The probability of picking 4 numbers correctly from 1 to 51 is given by the formula:

(number of combinations of 4 numbers from 51) / (number of combinations of 5 numbers from 51)

= (51 choose 4) / (51 choose 5)

= 51! / (4! * 47!) / (51! / (5! * 46!))

= (51 * 50 * 49 * 48) / (5 * 4 * 47 * 46)

= 19600 / 10,946

= 1/5.6 approximately

The probability of picking 1 number correctly from 1 to 42 is given by the formula:

1/42

The final probability of winning the minimum award is given by multiplying the above two probabilities:

1/5.6 * 1/42 = 1/237.12

So, the probability of winning the minimum award is approximately 1/237.12.

Write the polynomial below in factored form.
y = x³ - 3x² - 4x

Answers

Answer: y = x(x+1)(x-4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,y=x^3-3x^2-4x

taking x commonly

y=x(x^2-3x-4)

y=x(x^2+x-4x-4)

y=x[x(x+1)-4(x+1)]

y=x(x+1)(x-4)

how many pattern block trapezoids would create 2 hexagons

Answers

There are 12 trapezoids needed to create two hexagons with pattern blocks.

1. To create two hexagons with pattern blocks, you will need 12 trapezoids.

2. Each hexagon consists of six trapezoids.

3. Since you need two hexagons, you will need 12 trapezoids in total.

In order to create two hexagons with pattern blocks, you will need to use 12 trapezoids in total. Each hexagon consists of six trapezoids, so you will need two hexagons to use all twelve trapezoids. The two hexagons can be formed by arranging the trapezoids in a pattern of two triangles, two parallelograms, two rhombuses, and two trapezoids. With these 12 trapezoids, you will be able to create two complete hexagons.

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Answer:

Step-by-step explanation:

how many pattern blocks triangles would create 1 hexagon

terry invests a sum of money at a rate of 3.7% p.a. compound annually. After 4 years he withdraws $2000, and moves the moves the remaining money into an account earning 4.5% p.a. compounded annually. After 3 more years, there is $5635.66 in the account. How much did terry initially invest?

Answers

Answer:

To solve it, you need to use compound interest. Let me show you how.

Let P be the initial amount that Terry invested. Then after 4 years, the amount in the account is:

P × (1 + 0.037)^4

After withdrawing $2000, the remaining amount is:

P × (1 + 0.037)^4 - 2000

This amount is then moved to another account earning 4.5% p.a. compounded annually. After 3 more years, the amount in the account is:

(P × (1 + 0.037)^4 - 2000) × (1 + 0.045)^3

We are given that this amount is equal to $5635.66. So we can write an equation:

(P × (1 + 0.037)^4 - 2000) × (1 + 0.045)^3 = 5635.66

Simplifying the equation, we get:

P × 1.1597 - 2000 = 5635.66 / 1.1406

Adding 2000 to both sides, we get:

P × 1.1597 = 5635.66 / 1.1406 + 2000

Dividing both sides by 1.1597, we get:

P = (5635.66 / 1.1406 + 2000) / 1.1597

Using a calculator, we get:

P ≈ 5000.01

Therefore, Terry initially invested about $5000.01.

Step-by-step explanation:

John and Mary are building towers out of lego bricks. John used fewer than 18 bricks for his
tower. Mary used twice as many bricks as John. What is the greatest number of bricks Mary
could have used?

Answers

Answer:

34 bricks is the greatest amount Mary could have used

Step-by-step explanation:

It costs $3. 75 to buy 3/4 pound of chopped walnuts. How much would 10 pounds of chopped walnuts cost?

Answers

Ten pounds of chopped walnuts would total cost $30.00. That is because 3/4 pound of chopped walnuts costs $3.75, and 10 pounds would be 13.33 times as much.

1. 3/4 pound of chopped walnuts costs $3.75

2. 1 pound of chopped walnuts costs $5.00 (3.75 x 1.33)

3. 10 pounds of chopped walnuts costs $50.00 (5.00 x 10)

To calculate the cost of 10 pounds of chopped walnuts, we need to first calculate the cost of 1 pound of chopped walnuts. We know that 3/4 of a pound of chopped walnuts costs $3.75. To calculate the cost of 1 pound, we can multiply 3.75 by 1.33, which gives us the result of $5.00. We then multiply $5.00 by 10, which gives us the result of $50.00. Therefore, 10 pounds of chopped walnuts would cost $50.00. This is because 3/4 pound of chopped walnuts costs $3.75, and 10 pounds would be 13.33 times as much.

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Shape ABCD is a rectangle.
C is the point with coordinates (0,-8)
The equation of the straight line through A and B is 2y + x = 4. Find the equations of the lines
DC, AD and BC.

Answers

Equation of line DC is y = -1/2 x - 8

Equation of line AD is y = 2x + 2

Equation of line BC is y = 2x - 8

How to find the equation of the lines

The equation of the line 2y + x = 4 is arranged in slope intercept form to have

y = -x/2 + 2

The slope is -1/2

with a slope of -/2 and points (0, -8) line DC is written as

y - -8 = -1/2 (x - 0)

y + 8 = -1/2 x

y = -1/2 x - 8

Equation of line AD

line AD is a perpendicular line  to line DC hence the slope is negative reciprocal of the slope of line DC

slope = 2

point A(0, 2) line AD is written as

y - 2 = 2 (x - 0)

y - 2 = 2x

y = 2x + 2

Equation of line BC

line BC is a parallel to line AD hence the slopes are equal

slope = 2

point C (0, -8) line AD is written as

y - - 8 = 2 (x - 0)

y + 8 = 2x

y = 2x - 8

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30 percent of what number is 15

Answers

Step-by-step explanation:

50

because 50*(30/100)=1500/100

then it gives 15

so the 30 percent of a number is 15 that number is 50.

The requried, 30 percent of 50 is 15, as of the given condition.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

We can use algebra to solve the problem.

Let's call the number we're looking for "x". Then we can translate the problem statement into an equation:

30% of x is 15:

0.3x = 15

To solve for x, we can divide both sides of the equation by 0.3:

x = 15 ÷ 0.3

x = 50

Therefore, 30 percent of 50 is 15.

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Determine whether the underlined value is a parameter or a statistic. In a championship football game, a quarterback completed 59% of his passes for a total of 265 yards and 2 touchdowns.Is the value a parameter or a​ statistic?

Answers

A quarterback completed 59% of his passes for a total of 265 yards and 2 touchdowns. The value "59%" is a statistic.

In this scenario, a sample of the quarterback's passes was taken during the championship football game, and the completion percentage was calculated based on that sample. Since the percentage was calculated based on a sample, it is a statistic. A parameter, on the other hand, is a value that describes a characteristic of an entire population. For example, if we were to consider the completion percentage of all quarterbacks in the league, then the mean or median completion percentage would be a parameter because it would describe a characteristic of the entire population of quarterbacks. In summary, statistics are values that describe a characteristic of a sample, while parameters are values that describe a characteristic of a population.

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Complete Question

Determine whether the underlined value is a parameter or a statistic. In a championship football game, a quarterback completed 59% of his passes for a total of 265 yards and 2 touchdowns. Is the value a parameter or a statistic?

A customer paid goods on may 12 2018. The company invioced deliver goods

Answers

As per the discount, the customer will only need to pay P4,950 on May 12.

Discounts are a common practice in business transactions, where the seller offers a reduction in the price of goods or services as an incentive for the buyer to make a purchase.

The terms of the sale are as follows: 2/10, 1/15, n/30. This means that the customer is entitled to a 2% discount if they pay within 10 days, or a 1% discount if they pay within 15 days. Otherwise, the full amount is due within 30 days.

The customer makes a partial payment of P1,000, which means that they still owe P5,000. However, since the discount is only given upon full payment, the customer is not eligible for any discounts at this point.

Assuming that the customer pays the balance on May 12, they will have taken 11 days to make the payment. Since this is within the 15-day discount period, they are entitled to a 1% discount.

The calculation of the discount is as follows: P5,000 x 1% = P50. Therefore, the customer will only need to pay is calculated as,

=> P5,000 - P50 = P4,950

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Complete Question:

On May 1, RVQ Company sold goods for P6,000 on terms of 2/10, 1/15, n/30. Customer made a partial payment of P1,000 discounts are given only upon full payment of an account. The customer pays the balance on May 12, RVQ will receive on May 12 the amount of

dr. raynor, a school psychologist, tracks the number of students that are reported by teachers as having concerning behaviors in the classroom. at the end of the year, she calculated that 12.4% of the students in her school have been identified as having behaviors that impact their performance in the classroom. she understands that there is a margin of error to this estimate and reports that the number of children who have behavior problems at school may be as low as 10.2% and as high as 14.6%. what is the term used to describe the 12.4% calculation made by dr. raynor?

Answers

Dr. Raynor is 95% confident that the true population proportion of students with concerning behaviors that impact their performance in the classroom is between 10.2% and 14.6%.

The 12.4% calculation made by Dr. Raynor is referred to as a confidence interval. A confidence interval is a range of numbers that is likely to contain a population parameter. In this case, the population parameter is the percentage of students in the school with concerning behaviors that impact their performance in the classroom. To calculate the confidence interval, Dr. Raynor first determined the sample proportion, which is 12.4%. Then, she used the following formula to calculate the confidence interval:

Confidence Interval = (Sample Proportion ± Margin of Error)

In this case, the margin of error was 2.2%, which is calculated by multiplying the sample proportion by 1.96 (1.96 being the critical value for a 95% confidence interval). Thus, the confidence interval of 10.2% to 14.6% was determined. This confidence interval means that Dr. Raynor is 95% confident that the true population proportion of students with concerning behaviors that impact their performance in the classroom is between 10.2% and 14.6%.

Learn more about confidence interval here:

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